10408972 has 36 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 4265184.

The previous prime is 10408969. The next prime is 10409033. The reversal of 10408972 is 27980401.

It is a super-3 number, since 3×10408972³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3354 + ... + 5662.

It is an arithmetic number, because the mean of its divisors is an integer number (614460).

Almost surely, 2^10408972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10408972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

10408972 is an abundant number, since it is smaller than the sum of its proper divisors (11711588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10408972 is a wasteful number, since it uses less digits than its factorization.

10408972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10408972 is about 3226.2938489852. The cubic root of 10408972 is about 218.3413276537.

The spelling of 10408972 in words is "ten million, four hundred eight thousand, nine hundred seventy-two".